Search a number
-
+
131334336 = 2632732573
BaseRepresentation
bin1111101010000…
…00000011000000
3100011010110211200
413311000003000
5232110144321
621010541200
73153215640
oct765000300
9304113750
10131334336
1168153481
1237b97800
1321294c33
141362a520
15b7e3d26
hex7d400c0

131334336 has 84 divisors (see below), whose sum is σ = 430237392. Its totient is φ = 37522944.

The previous prime is 131334331. The next prime is 131334337. The reversal of 131334336 is 633433131.

131334336 is a `hidden beast` number, since 1 + 313 + 343 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131334331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12255 + ... + 20318.

Almost surely, 2131334336 is an apocalyptic number.

131334336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131334336 is an abundant number, since it is smaller than the sum of its proper divisors (298903056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131334336 is a wasteful number, since it uses less digits than its factorization.

131334336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32598 (or 32585 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 131334336 is about 11460.1193711060. The cubic root of 131334336 is about 508.3070043755.

Adding to 131334336 its reverse (633433131), we get a palindrome (764767467).

The spelling of 131334336 in words is "one hundred thirty-one million, three hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 32573 65146 97719 130292 195438 228011 260584 293157 390876 456022 521168 586314 684033 781752 912044 1042336 1172628 1368066 1563504 1824088 2052099 2084672 2345256 2736132 3127008 3648176 4104198 4690512 5472264 6254016 7296352 8208396 9381024 10944528 14592704 16416792 18762048 21889056 32833584 43778112 65667168 131334336